Keller magnetic fields in space of constant holomorphic sectional curvature

Abstract

Keller magnetic fields on Keller manifolds of constant holomorphic curvature with an arbitrary signature are considered. The metric of the Keller space of constant holomorphic curvature is obtained in general form. Simulation of the Keller magnetic fields of by means of H-projective curves of a flat space is used to reduce the study of the trajectory equations to a study of one ordinary second-order differential equation.